A railway half ticket costs half the full far | vedclass

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Question

(B) Let the full first class fare be $x$ and the reservation charges per ticket be $y$.Case $I$: The cost of one reserved first class ticket from stat

Vedclass · Accepted Answer

$2500, 30$

Vedclass · Answer

(B) Let the full first class fare be $x$ and the reservation charges per ticket be $y$.Case $I$: The cost of one reserved first class ticket from station $A$ to $B$ is $Rs. 2530$.$x + y = 2530$ ... $(i)$Case $II$: The cost of one reserved first class ticket and one reserved first class half ticket from station $A$ to $B$ is $Rs. 3810$.The cost of a half ticket is $\frac{x}{2} + y$.So,$(x + y) + (\frac{x}{2} + y) = 3810$$\frac{3x}{2} + 2y = 3810$$3x + 4y = 7620$ ... $(ii)$Multiply equation $(i)$ by $4$:$4x + 4y = 10120$ ... $(iii)$Subtract equation $(ii)$ from equation $(iii)$:$(4x + 4y) - (3x + 4y) = 10120 - 7620$$x = 2500$Substitute $x = 2500$ into equation $(i)$:$2500 + y = 2530$$y = 30$Thus,the full first class fare is $Rs. 2500$ and the reservation charge is $Rs. 30$.

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